AHSME 1973 Problem 27

Cars A and B travel the same distance. Car A travels half that distance at $u$ miles per hour and half at $v$ miles per hour. Car B travels half the time at $u$ miles per hour and half at $v$ miles per hour. The average speed of Car A is $x$ miles per hour and that of Car B is $y$ miles per hour. Then we always have $\textbf{(A)}\ x \leq y \textbf{(B)}\ x \geq y \textbf{(C)}\ x=y \textbf{(D)}\ xy$